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Finding the Fourth Proportional to 626.71, 865.23 and 417.18

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Solution

The fourth proportional to 626.71, 865.23 and 417.18 is: 575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.71 : 865.23 = 417.18 : x
  2. Step 2: Convert to fraction form
    626.71/865.23 = 417.18/x
  3. Step 3: Cross multiply
    626.71x = 865.23 × 417.18
  4. Step 4: Simplify right side
    626.71x = 360,956.65
  5. Step 5: Solve for x
    x = 360,956.65/626.71
  6. Step 6: Final answer
    x = 575.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.